I. Vorobeichik et al., EFFECT OF THE 2ND-DERIVATIVE PARAXIAL TERM IN THE SCALAR MAXWELL EQUATION ON AMPLITUDE LOSSES AND REFLECTIONS IN OPTICAL FIBERS, Journal of the Optical Society of America. B, Optical physics, 14(5), 1997, pp. 1207-1212
The scalar Maxwell's equation, including the often-neglected second-de
rivative paraxial term, is solved. This term is shown to increase the
loss of the amplitude of the light beam inside a single-mode optical f
iber. The reflected (backward-traveling) wave that is due to the secon
d-derivative term is obtained from the calculation of the scattering m
atrix as formulated in quantum-mechanical dynamical problems. (C) 1997
Optical Society of America.